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5905296 = 2432231783
BaseRepresentation
bin10110100001101110010000
3102010000112200
4112201232100
53002432141
6330323200
7101123415
oct26415620
912100480
105905296
113373811
121b89500
1312b9b77
14ada10c
157b9ab6
hex5a1b90

5905296 has 60 divisors (see below), whose sum is σ = 17254848. Its totient is φ = 1881792.

The previous prime is 5905279. The next prime is 5905297. The reversal of 5905296 is 6925095.

5905296 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5905296.

It is not an unprimeable number, because it can be changed into a prime (5905297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2421 + ... + 4203.

Almost surely, 25905296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5905296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8627424).

5905296 is an abundant number, since it is smaller than the sum of its proper divisors (11349552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5905296 is a wasteful number, since it uses less digits than its factorization.

5905296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5905296 is about 2430.0814801154. The cubic root of 5905296 is about 180.7509369051.

It can be divided in two parts, 590 and 5296, that added together give a triangular number (5886 = T108).

The spelling of 5905296 in words is "five million, nine hundred five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 1783 3312 3566 5349 7132 10698 14264 16047 21396 28528 32094 41009 42792 64188 82018 85584 123027 128376 164036 246054 256752 328072 369081 492108 656144 738162 984216 1476324 1968432 2952648 5905296